Blake number

The Blake number in fluid mechanics is a nondimensional number showing the ratio of inertial force to viscous force. It is used in momentum transfer in general and in particular for flow of a fluid through beds of solids. It is a generalisation of the Reynolds number for flow through porous media.

Expressed mathematically the Blake number $B$ is:

B={\frac {u\rho D_{h}}{\mu (1-\epsilon )}}

where

$ε$	=	void fraction
$μ$	=	dynamic viscosity
$ρ$	=	fluid density
$D h$	=	hydraulic diameter
$u$	=	flow velocity

External links

Tomas, J. (2010). "Mechanical Process Engineering – Particle Technology" (PDF). Otto von Guericke University of Magdeburg. Archived from the original (PDF) on 19 July 2011. Retrieved 11 February 2011.

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